The Biomechanical Profile of an Osseo-Integrated Rectangular Block Implant: A Pilot In Vivo Strain Analysis
Abstract
:1. Introduction
2. Materials and Methods
2.1. The Rectangular Block Implant
2.2. Animal Surgery and Ethics
2.3. Osseo-Integration
2.4. Embedding
2.5. Prosthetic Crown and the Force Application
2.6. Strain Gauges
2.7. The Mounted Set-Up
3. Results
3.1. Channel Data
3.2. Principal Strains
- (a)
- If ε1 > ε3, then ϕp,q = ϕp: the reference is from ε1 to εp.
- (b)
- If ε1 < ε3, then ϕp,q = ϕq: the reference is from ε3 to εq.
- (c)
- If ε1 = ε3 and ε2 < ε1, then ϕp,q = ϕp = −45°.
- (d)
- If ε1 = ε3 and ε2 > ε1, then ϕp,q = ϕp = +45°.
- (e)
- If ε1 = ε2 = ε3, then ϕp,q is indeterminate (equal bi-axial strain).
- (i)
- Relative to the associated absolute ε1 and ε3 readings for that output;
- (ii)
- Indicative of a high torsional element affecting that peri-implant cortex.
3.3. Observational Summary
4. Discussion
4.1. Measured Cortical Strains
- (a)
- In the buco-lingual horizontal dimension: dominant “horizontal” compressive stresses on the lingual aspect, coupled with “horizontal” tensile stresses on the buccal aspect.
- (b)
- In the bucco-lingual “vertical” dimension: dominant vertical torsional stresses oriented buccally and apically.
- (c)
- In the mesio-distal “horizontal” dimension: dominant torsional stresses oriented as a distal-buccal “counter-clockwise” rotation.
4.2. Tensile and Compressive Elements in the Bucco-Lingual (Horizontal) Dimension
- (i)
- Horizontally. In the horizontal bucco-lingual aspect, this could be seen as an elastic deformation of the body of the mandible. The deformation of the lingual cortex would have resulted in concavity, while that of the buccal cortex would have resulted in convexity. This equated to a three-point bending configuration.
- (ii)
- Vertically. The second ramification of this strain pattern was in the vertical (axial) and bucco-lingual aspect, where there was an overall buccally inclined torsional effect (Figure 8). This was evidenced on the lingual aspect, where there remained high torsional rotation elements (high Φ and ε2), giving a complex picture of lingual compression and a buccally directed torsion.
4.3. Mesio-Distal Torsion
4.4. Combined Mesio-Distal and Bucco-Lingual Torsion
4.5. The Complexity of the Principal Strains and their Angular Orientations
- (i)
- The angulation and rotation of the block in the mandible, e.g., the bucco-lingual slant. This factor varied with respect to the differences between the crestal morphology of the alveolar ridge and the underlying cross-sectional morphology of the body of the mandible.
- (ii)
- The particular pattern of osseo-integration around the block itself. Judge [34] extensively studied the trabecular and cortical architecture of the dog mandible, depicting a high level of variation and heterogeneity in its make-up, while Monje et al. [35] have highlighted the variability in trabecular density and volume in the posterior mandible from site to site.
- (iii)
- The particular relative thicknesses of the cortical and cancellous bone, as well as the shape of the mandible at the position of the implant. These factors would have affected the critical elements of cortical flexural stress and cancellous tensile shear stress, as defined by the mathematical principles of such a bi-layered composite beam [36,37].
- (iv)
- The inability to perfectly align the application of the force. The step on the crown and the engaging push rod would inevitably have some degree of variation in their orientations. Deviations from perfect parallelism would be expressed as a bias in force resolution, as well as the resultant axial moments, torsional stress concentrations, and strain levels.
4.6. Physiological Limits
- (i)
- The importance of the role of the mandible as a single and flexible composite beam.
- (ii)
- The rectangular design.
4.7. Limitations
5. Conclusions
- (i)
- Tensile and compressive strains were expressed bucco-lingually and mesio-distally.
- (ii)
- Bucco-lingually, there was a “horizontal” flexure of the body of the mandible, producing buccal tensile strains and lingual compressive strains.
- (iii)
- Bucco-lingually, there were strong “vertical” torsional stresses directed apically on the buccal aspect.
- (iv)
- Mesio-distally, there were strong horizontal torsional stresses in a disto-buccal orientation.
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Mesial, Buccal, Distal, and Lingual Gauges (All Readings in Micro-Strain: με) | ||||
---|---|---|---|---|
Channel | ε1 | ε2 | ε3 | |
mesial gauge | ||||
mean max-min difference | 798 ± 35 | −1551 ± 98 | −639 ± 47 | |
tens/comp | tension | compression | compression | |
1000 N | ||||
buccal gauge | ||||
mean max-min difference | −1029 ± 104 | 489 ± 23 | 1618 ± 121 | |
tens/comp | compression | tension | tension | |
distal gauge | ||||
mean max-min difference | −285 ± 31 | −1281 ± 127 | −1742 ± 186 | |
tens/comp | compression | compression | compression | |
1000 N | ||||
lingual gauge | ||||
mean max-min difference | −707 ± 56 | 732 ± 17 | 757 ± 98 | |
tens/comp | compression | tension | tension |
Principle Strains: Magnitudes (με) and Angular Resolve | |||||
---|---|---|---|---|---|
Load | Gauge | εp | εq | θ/φ0 | Absolute Value |
Mesial | 1822 | −1663 | 33.0 | ε1 > ε3 (ε2 large) | |
1000 N | Distal | 67 | −2094 | 10.0 | ε1 > ε3 (ε2 large) |
Buccal | 1632 | −1043 | 4.2 | ε1 < ε3 | |
Lingual | 2096 | −2047 | 21.9 | ε1 > ε3 (ε2 large) |
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Gazelakis, E.; Judge, R.B.; Palamara, J.E.A.; Nazir, M. The Biomechanical Profile of an Osseo-Integrated Rectangular Block Implant: A Pilot In Vivo Strain Analysis. Bioengineering 2022, 9, 425. https://doi.org/10.3390/bioengineering9090425
Gazelakis E, Judge RB, Palamara JEA, Nazir M. The Biomechanical Profile of an Osseo-Integrated Rectangular Block Implant: A Pilot In Vivo Strain Analysis. Bioengineering. 2022; 9(9):425. https://doi.org/10.3390/bioengineering9090425
Chicago/Turabian StyleGazelakis, Efthimios, Roy B. Judge, Joseph E. A. Palamara, and Mohsin Nazir. 2022. "The Biomechanical Profile of an Osseo-Integrated Rectangular Block Implant: A Pilot In Vivo Strain Analysis" Bioengineering 9, no. 9: 425. https://doi.org/10.3390/bioengineering9090425
APA StyleGazelakis, E., Judge, R. B., Palamara, J. E. A., & Nazir, M. (2022). The Biomechanical Profile of an Osseo-Integrated Rectangular Block Implant: A Pilot In Vivo Strain Analysis. Bioengineering, 9(9), 425. https://doi.org/10.3390/bioengineering9090425